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LCM of 242, 436, 689, 697, 843

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 242, 436, 689, 697, 843 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 242, 436, 689, 697, 843. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 242,436,689,697,843

Given numbers are 242,436,689,697,843

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 242,436,689,697,843 is 21357550120764.

Find LCM of 242,436,689,697,843 with Prime Factorization


2 242, 436, 689, 697, 843
121, 218, 689, 697, 843

Multiply the prime numbers at the bottom and the left side.

2 x 121 x 218 x 689 x 697 x 843 = 21357550120764

Therefore, the lowest common multiple of 242,436,689,697,843 is 21357550120764.

LCM Formula to Find Lowest Common Multiple of 242,436,689,697,843

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

242 x 436 x 689 x 697 x 843 = 42715100241528

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

242 : 1, 2, 11, 22, 121, 242

436 : 1, 2, 4, 109, 218, 436

689 : 1, 13, 53, 689

697 : 1, 17, 41, 697

843 : 1, 3, 281, 843

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 242,436,689,697,843, is 1.

Now, the common factors can be found like this.

242:2x 11x 11

436:2x 2x 109

689:13x 53

697:17x 41

843:3x 281

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 42715100241528/(1x2)

LCM = 42715100241528/2

LCM = 21357550120764

Thus, we can understand that the LCM of 242,436,689,697,843 is 21357550120764.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 242, 436, 689, 697, 843

1. What is the LCM of 242, 436, 689, 697, 843?

Answer: LCM of 242, 436, 689, 697, 843 is 21357550120764.

2. How to calculate the LCM of 242, 436, 689, 697, 843?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 242, 436, 689, 697, 843.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.